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Teoreticheskaya i Matematicheskaya Fizika, 2005, Volume 145, Number 1, Pages 87–101
DOI: https://doi.org/10.4213/tmf1882 (Mi tmf1882) 		 
This article is cited in 38 scientific papers (total in 38 papers)

Quantum Non-Markovian Stochastic Equations

G. G. Adamianab, N. V. Antonenkoa, Z. Kanokovac, V. V. Sargsyana

a Joint Institute for Nuclear Research
b G I. Budker Institute of Nuclear Physics, Siberian Branch of Russian Academy of Sciences
c National University of Uzbekistan named after M. Ulugbek
Full-text PDF (289 kB) Citations (38)
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DOI: https://doi.org/10.4213/tmf1882
Abstract: We derive quantum diffusion equations with transport coefficients explicitly depending on time from generalized non-Markovian Langevin equations and obtain generalized fluctuation-dissipation relations. We substantiate the axiomatic Lindblad approach in the microscopic model. For non-Markovian dynamics, we find sets of diffusion coefficients that ensure the purity of states at any instant.
Keywords: open quantum systems, friction and diffusion coefficients, non-Markovian dynamics.
Received: 02.11.2004
Revised: 10.02.2005
English version:
Theoretical and Mathematical Physics, 2005, Volume 145, Issue 1, Pages 1443–1456
DOI: https://doi.org/10.1007/s11232-005-0170-2
Bibliographic databases:
Language: Russian
Citation: G. G. Adamian, N. V. Antonenko, Z. Kanokov, V. V. Sargsyan, “Quantum Non-Markovian Stochastic Equations”, TMF, 145:1 (2005), 87–101; Theoret. and Math. Phys., 145:1 (2005), 1443–1456
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf/v145/i1/p87
    • This publication is cited in the following 38 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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